GCF of 9844/734, 8188/7886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9844/734, 8188/7886 i.e 92/2894162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9844/734, 8188/7886.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9844/734,8188/7886?
Given fractions are 9844/734,8188/7886
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9844/734,8188/7886, numerators are 9844,8188
Denominators are 734,7886
The GCF of 9844,8188 is 92 .
LCM of 734,7886 is 2894162.
The greatest common factor of 9844/734,8188/7886 = [GCF of 9844,8188]/[LCM of 734,7886]= 92/2894162
Therefore, the GCF of 9844/734,8188/7886 is 92/2894162.
To find the highest common factor of 9844,8188, we have to find the factors of both numbers and list the highest common factor.
The factors of 9844 are 1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844
The factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188
The HCF of 9844,8188 is 92.
Lets's calculate GCF of 9844,8188
| 2 | 9844, 8188 |
| 2 | 4922, 4094 |
| 23 | 2461, 2047 |
| 107, 89 |
∴ So the GCF of the given numbers is 2 x 2 x 23 = 92
Greatest Common Factor of 9844,8188 By Matching Biggest Common Factor Method
Now, list down the factors of 9844
:1,2,4,23,46,92,107,214,428,2461,4922,9844
Now, list down the factors of 8188
:1,2,4,23,46,89,92,178,356,2047,4094,8188
Greatest Common Factor
We found the factors 9844,8188 . The biggest common factor number is the GCF number.
So the greatest common factor 9844,8188 is 92.
Lets's calculate LCM of 734,7886
| 2 | 734, 7886 |
| 367, 3943 |
∴ So the LCM of the given numbers is 2 x 367 x 3943 = 2894162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/2894162
Therefore, the GCF of Fractions 9844/734,8188/7886 is 92/2894162
Least Common Multiple of 734,7886 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 734,7886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,7886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,7886) x common factors =2 x 1 = 2
LCM(734,7886) = ( 734 × 7886 ) / 2
LCM(734,7886) = 5788324 / 2
LCM(734,7886) = 2894162
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FAQs on GCF of Fractions of 9844/734, 8188/7886
1. What is the HCF of 9844,8188?
The HCF of 9844,8188 is 92
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9844/734, 8188/7886?
Answer: GCF of Numerators as per given numbers 9844/734, 8188/7886 is
GCF of Numerators i.e. for 9844,8188 is 92
LCM of denominators i.e. for 734,7886 is 2894162.
Thus, GCF of Fractions is 92/2894162.Finally, GCF of Fractions for 9844/734, 8188/7886 is 92/2894162.